A study of fractional-order monkeypox mathematical model with its stability analysis

Manal Almuzini; Iqbal M. Batiha; Shaher Momani

doi:10.1109/ICFDA58234.2023.10153214

A study of fractional-order monkeypox mathematical model with its stability analysis

Manal Almuzini
, Iqbal M. Batiha
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Universiti Sains Malaysia
Al-Zaytoonah University of Jordan
University of Jordan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

In more recent times, many monkeypox disease cases have steadily increased and the range of the projected outbreaks in human populations has grown constantly. In the light of these aspects, this work proposes a new fractional-order version for one of the Susceptible-Exposed-Infectious-Recovered models (or simply SEIR models). This model, which is formulated in the sense of Caputo fractional differentiator, is first analyzed in terms of finding some theoretical results related to the stability analysis and the basic reproduction number. Then, with the help of using a novel recent version of the fractional Euler method, called Fractional Modified Euler Method (FMEM), the proposed model is solved numerically. Several numerical simulations are presented afterward for completeness.

Original language	English
Title of host publication	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9798350321685
DOIs	https://doi.org/10.1109/ICFDA58234.2023.10153214
State	Published - 2023
Event	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 - Ajman, United Arab Emirates Duration: 14 Mar 2023 → 16 Mar 2023

Publication series

Name	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

Conference

Conference	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Country/Territory	United Arab Emirates
City	Ajman
Period	14/03/23 → 16/03/23

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Caputo fractional-order operator
Monkeypox outbreak
SEIR model
basic reproduction number
stability

Access to Document

10.1109/ICFDA58234.2023.10153214

Cite this

Almuzini, M., Batiha, I. M., & Momani, S. (2023). A study of fractional-order monkeypox mathematical model with its stability analysis. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICFDA58234.2023.10153214

Almuzini, Manal ; Batiha, Iqbal M. ; Momani, Shaher. / A study of fractional-order monkeypox mathematical model with its stability analysis. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

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title = "A study of fractional-order monkeypox mathematical model with its stability analysis",

abstract = "In more recent times, many monkeypox disease cases have steadily increased and the range of the projected outbreaks in human populations has grown constantly. In the light of these aspects, this work proposes a new fractional-order version for one of the Susceptible-Exposed-Infectious-Recovered models (or simply SEIR models). This model, which is formulated in the sense of Caputo fractional differentiator, is first analyzed in terms of finding some theoretical results related to the stability analysis and the basic reproduction number. Then, with the help of using a novel recent version of the fractional Euler method, called Fractional Modified Euler Method (FMEM), the proposed model is solved numerically. Several numerical simulations are presented afterward for completeness.",

keywords = "Caputo fractional-order operator, Monkeypox outbreak, SEIR model, basic reproduction number, stability",

author = "Manal Almuzini and Batiha, \{Iqbal M.\} and Shaher Momani",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 ; Conference date: 14-03-2023 Through 16-03-2023",

year = "2023",

doi = "10.1109/ICFDA58234.2023.10153214",

language = "English",

series = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",

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}

Almuzini, M, Batiha, IM & Momani, S 2023, A study of fractional-order monkeypox mathematical model with its stability analysis. in 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Institute of Electrical and Electronics Engineers Inc., 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Ajman, United Arab Emirates, 14/03/23. https://doi.org/10.1109/ICFDA58234.2023.10153214

A study of fractional-order monkeypox mathematical model with its stability analysis. / Almuzini, Manal; Batiha, Iqbal M.; Momani, Shaher.
2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A study of fractional-order monkeypox mathematical model with its stability analysis

AU - Almuzini, Manal

AU - Batiha, Iqbal M.

AU - Momani, Shaher

PY - 2023

Y1 - 2023

N2 - In more recent times, many monkeypox disease cases have steadily increased and the range of the projected outbreaks in human populations has grown constantly. In the light of these aspects, this work proposes a new fractional-order version for one of the Susceptible-Exposed-Infectious-Recovered models (or simply SEIR models). This model, which is formulated in the sense of Caputo fractional differentiator, is first analyzed in terms of finding some theoretical results related to the stability analysis and the basic reproduction number. Then, with the help of using a novel recent version of the fractional Euler method, called Fractional Modified Euler Method (FMEM), the proposed model is solved numerically. Several numerical simulations are presented afterward for completeness.

AB - In more recent times, many monkeypox disease cases have steadily increased and the range of the projected outbreaks in human populations has grown constantly. In the light of these aspects, this work proposes a new fractional-order version for one of the Susceptible-Exposed-Infectious-Recovered models (or simply SEIR models). This model, which is formulated in the sense of Caputo fractional differentiator, is first analyzed in terms of finding some theoretical results related to the stability analysis and the basic reproduction number. Then, with the help of using a novel recent version of the fractional Euler method, called Fractional Modified Euler Method (FMEM), the proposed model is solved numerically. Several numerical simulations are presented afterward for completeness.

KW - Caputo fractional-order operator

KW - Monkeypox outbreak

KW - SEIR model

KW - basic reproduction number

KW - stability

UR - https://www.scopus.com/pages/publications/85164537032

U2 - 10.1109/ICFDA58234.2023.10153214

DO - 10.1109/ICFDA58234.2023.10153214

M3 - Conference contribution

AN - SCOPUS:85164537032

T3 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

BT - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

Y2 - 14 March 2023 through 16 March 2023

ER -

Almuzini M, Batiha IM , Momani S. A study of fractional-order monkeypox mathematical model with its stability analysis. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc. 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). doi: 10.1109/ICFDA58234.2023.10153214

A study of fractional-order monkeypox mathematical model with its stability analysis

Abstract

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UN SDGs

Keywords

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